The generator matrix

 1  0  0  0  1  1  1  4  1  1  4  1  4  6  1  1  1  4  6  4  1  0  2  4  1  1  4  1  1  1  2  6  1  4  1  6  1  2  4  4  1  1
 0  1  0  0  0  1  1  1  5  6  1  2  1  4  5  1  3  0  1  2  2  6  1  1  1  6  1  1  7  2  2  1  7  2  3  1  6  6  1  1  3  4
 0  0  1  0  1  1  4  3  6  2  2  5  1  1  1  6  6  6  7  1  4  1  6  1  1  7  6  4  3  0  1  2  0  1  0  6  7  4  3  0  3  0
 0  0  0  1  1  0  5  7  4  3  1  2  4  5  1  0  7  1  7  2  1  5  0  4  2  6  1  3  7  4  0  2  6  1  3  4  4  1  3  1  5  3
 0  0  0  0  2  0  0  6  0  0  0  6  6  6  4  6  6  6  4  0  2  4  6  4  6  4  2  4  2  6  2  0  6  6  6  0  0  4  6  6  0  6
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  0  0  4  0  0  4  4  0  4  4  0  4  4  4  0  0  4  0  4  0

generates a code of length 42 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+131x^34+478x^35+958x^36+1294x^37+1940x^38+2580x^39+3248x^40+3770x^41+3789x^42+3834x^43+3417x^44+2840x^45+1893x^46+1200x^47+763x^48+274x^49+176x^50+100x^51+60x^52+14x^53+7x^54+1x^60

The gray image is a code over GF(2) with n=168, k=15 and d=68.
This code was found by Heurico 1.16 in 18.9 seconds.